Volume 67, Number 2, July 2004
|Page(s)||172 - 178|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||01 July 2004|
Entropy fluctuations in shell models of turbulence
Institut Non-Linéaire de Nice, CNRS - 1361 Route des Lucioles, 06560 Valbonne, France
Accepted: 14 May 2004
This letter concerns the extension to non-reversible systems of a relation between the statistics of the fluctuations of the entropy production rate and its stationary average. In the framework of a standard shell model of turbulence, we consider the statistics of the energy input rate and entropy supplied separately and provide numerical evidence that even though the fluctuations of the former quantity are consistent with the linear part of the fluctuation theorem, this is not so of the latter when the fluctuations are large enough. Moreover, in the linear regime, the slope is not in agreement with the universal value predicted by the theorem. Our results extend those of Aumaître et al. (Eur. Phys. J. B 19 (2001) 449).
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 47.27.-i – Turbulent flows, convection, and heat transfer
© EDP Sciences, 2004
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